Question: (a) Show that the following integer program finds the size of the largest stable set in G: s.t. x = {0, 1} for all

(a) Show that the following integer program finds the size of the largest stable set in G: s.t. x = {0, 1} for all v V and x+xv 1 for all {u, v} E. max VEV (b) Show that if G is bipartite, the following linear program finds the size of the largest stable set in G: max 2 VEV Xv s.t. 0 x 1 for all v V and x + x 1 for all {u, v} E.

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